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The work done in this paper, proposes a complex Laplacian-based distributed control scheme for convergence in the multi-agent network. The proposed scheme has been designated as cascade formulation. The proposed technique exploits the…

Optimization and Control · Mathematics 2019-11-21 Aniket Deshpande , Pushpak Jagtap , Prashant Bansode , Arun Mahindrakar , Navadeep Singh

This work investigates the consensus problem for multi-agent nonlinear systems through the distributed real-time nonlinear receding horizon control methodology. With this work, we develop a scheme to reach the consensus for nonlinear multi…

Optimization and Control · Mathematics 2019-07-17 Fei Sun , Kamran Turkoglu

We study an optimal control problem aimed at achieving a desired tradeoff between the network coherence and communication requirements in the distributed controller. Our objective is to add a certain number of edges to an undirected…

Optimization and Control · Mathematics 2018-11-26 Sepideh Hassan-Moghaddam , Mihailo R. Jovanović

This paper presents a spatio-temporal inverse optimal control framework for understanding interactions in multi-agent systems (MAS). We employ a graph representation approach and model the dynamics of interactions between agents as…

Systems and Control · Electrical Eng. & Systems 2024-11-04 Sara Honarvar , Yancy Diaz-Mercado

The analysis of complex networks has so far revolved mainly around the role of nodes and communities of nodes. However, the dynamics of interconnected systems is commonly focalised on edge processes, and a dual edge-centric perspective can…

Physics and Society · Physics 2014-04-25 Michael T. Schaub , Jörg Lehmann , Sophia N. Yaliraki , Mauricio Barahona

This paper characterizes the graphical properties of an optimal topology with minimal Laplacian energy under the constraint of fixed numbers of vertices and edges, and devises an algorithm to construct such connected optimal graphs. These…

Optimization and Control · Mathematics 2024-03-26 Susie Lu , Ji Liu

We propose an efficient and robust iterative solution to the multi-object matching problem. We first clarify serious limitations of current methods as well as the inappropriateness of the standard iteratively reweighted least squares…

Computer Vision and Pattern Recognition · Computer Science 2021-10-11 Yunpeng Shi , Shaohan Li , Gilad Lerman

For most existing prescribed performance formation control methods, performance requirements are not directly imposed on the relative states between agents but on the consensus error, which lacks a clear physical interpretation of their…

Systems and Control · Electrical Eng. & Systems 2024-08-02 Kun Li , Kai Zhao , Yongduan Song , Lihua Xie

The current paper addresses the distributed guaranteed-performance consensus design problems for general high-order linear multiagent systems with leaderless and leader-follower structures, respectively. The information about the Laplacian…

Multiagent Systems · Computer Science 2018-06-27 Jianxiang Xi , Jie Yang , Hao Liu , Tang Zheng

In this paper, a bipartite consensus problem for a multi-agent system is formulated firstly. Then an event-based interaction rule is proposed for the multi-agent system with antagonistic interactions. The bipartite consensus stability is…

Adaptation and Self-Organizing Systems · Physics 2013-11-01 Yulong Zhou , Jiangping Hu

This work explores the edge agreement problem of second-order multi-agent system with dynamic quantization under directed communication. To begin with, by virtue of the directed edge laplacian, we derive a model reduction representation of…

Information Theory · Computer Science 2016-01-25 Zhiwen Zeng , Xiangke Wang , Zhiqiang Zheng , Lina Zhao

Consensus of autonomous agents is a benchmark problem in multi-agent control. In this paper, we consider continuous-time averaging consensus policies (or Laplacian flows) and their discrete-time counterparts over time-varying graphs in…

Optimization and Control · Mathematics 2021-05-18 Anton V. Proskurnikov , Giuseppe Carlo Calafiore

This paper investigates the distributed consensus tracking control problem for general linear multi-agent systems (MASs) with external disturbances and heterogeneous time-varying input and communication delays under a directed communication…

Systems and Control · Electrical Eng. & Systems 2021-05-04 Wei Jiang , Kun Liu , Themistoklis Charalambous

Cellular sheaves and sheaf Laplacians provide a far-reaching generalization of graphs and graph Laplacians, resulting in a wide array of applications ranging from machine learning to multi-agent control. In the context of multi-agent…

Optimization and Control · Mathematics 2025-10-02 Yichen Zhao , Tyler Hanks , Hans Riess , Samuel Cohen , Matthew Hale , James Fairbanks

This work deals with the output consensus problem for multiagent systems over balanced digraphs by passivity analysis. As the standard diffusive coupling structure only models the undirected interconnection, we propose a general approach…

Optimization and Control · Mathematics 2025-06-27 Feng-Yu Yue , Daniel Zelazo

The non-consensus problems of high order linear time-invariant dynamical homogeneous multi-agent systems are concerned. Based on the conditions of consensus achievement, the mechanisms that lead to non-consensus motions are analyzed.…

Systems and Control · Computer Science 2018-08-01 Ning Cai , Chun-Lin Deng , Qiu-Xuan Wu

We study resilient leader-follower consensus of multi-agent systems (MASs) in the presence of adversarial agents, where agents' communication is modeled by time-varying topologies. The objective is to develop distributed algorithms for the…

Multiagent Systems · Computer Science 2024-11-18 Liwei Yuan , Hideaki Ishii

In this work, we consider a group of n agents whose interactions can be represented using unsigned or signed structurally balanced graphs or a special case of structurally unbalanced graphs. A Laplacian-based model is proposed to govern the…

Systems and Control · Electrical Eng. & Systems 2024-08-15 Vishnudatta Thota , Twinkle Tripathy , Debasattam Pal

The purpose of this short paper is to provide a theoretical analysis for the consensus problem under nonlinear protocols. A main contribution of this work is to generalize the previous consensus problems under nonlinear protocols for…

Dynamical Systems · Mathematics 2008-04-24 Xiwei Liu , Tianping Chen

We address the synchronization problem in open multi-agent systems (OMAS) containing both cooperative and antagonistic interactions. In these systems, agents can join or leave the network over time, and the interaction structure may evolve…

Systems and Control · Electrical Eng. & Systems 2026-02-26 Pelin Sekercioglu , Angela Fontan , Dimos V. Dimarogonas